Question

Hello, please help me solve this. I got -4 but I’m not sure if that’s right

Answer 1

Recall that the slope-intercept form of an equation with slope m is:

`y=mx+b.`

Now, the equation of a line that passes through (x₁,y₁), with slope m, is:

`y-y_1=m(x-x_1).`

Therefore, the equation of the given line is:

`y-(-1)=9(x-(1)/(3)).`

Taking the above equation to its slope-intercept form, we get:

`\begin{gathered} y+1=9x-(9)/(3), \\ y+1=9x-3, \\ y=9x-3-1, \\ y=9x-4. \end{gathered}`

Answer:

`y=9x-4.`